Alejandra's Tapas Bar offers a menu consisting of 9 savory and 6 sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get in total?
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Alejandra's Tapas Bar offers a menu consisting of 9 savory and 6 sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get in total?
The menu contains a total of 9 + 6 = 15 dishes.
Combinations of 15 things taken 2 at a time, written as 15C2 = 105.
It wouldn't be 15 times 14 because those would be permutations.
Permutations would be double the number of combinations, because
each combination would be chosen twice, once as A+B and again as B+A.
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